Use your phone with a Mobile-ID SIM card just like a regular ID-card on a PC with zee Baastarkvara* and a decent contactless reader, thanks to the Host Card Emulation in the latest Android release. This is like FakeEstEID but with real and valid certificates!
UPDATE 06.03.2014: Due to missing features in the current DigiDocService, this project is put on hold until an update is available that allows to directly control the input to authentication/sign operations. A minimalistic software-only implementation running the FakeEstEID applet in Android-hosted Virtual Java Card Runtime Environment might still be released before that time.
You can choose between a 100% faked card (FakeEstEID through JavaCard VRE) or one backed by Mobile-ID during application startup.
Application will be released to Google Play and Github early March 2014 when DigiDocService supports necessary features.
All about the EstEID